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Finding the Fourth Proportional to 3,523.88, 5,285.84 and 1,443.53

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Solution

The fourth proportional to 3,523.88, 5,285.84 and 1,443.53 is: 2,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.88 : 5,285.84 = 1,443.53 : x
  2. Step 2: Convert to fraction form
    3,523.88/5,285.84 = 1,443.53/x
  3. Step 3: Cross multiply
    3,523.88x = 5,285.84 × 1,443.53
  4. Step 4: Simplify right side
    3,523.88x = 7,630,274.61
  5. Step 5: Solve for x
    x = 7,630,274.61/3,523.88
  6. Step 6: Final answer
    x = 2,165.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.